Multiple generalizations of q-series identities and related formulas

Abstract

A number of multiple generalization of "familiar" and fundamental q-series transformation formulas in Chap. 16 of Ramanujan's notebook are obtained from 3φ 2 transformations forMilne'smultivariate basic hypergeometric series in our previouswork. A generalization of 1φ 1 transformation related to the basic Lauricella function φ D is also presented. © Springer Science+Business Media, LLC 2012.